oj.uz

Submission #1093071

# Submission time Handle Problem Language Result Execution time Memory
1093071 2024-09-25T19:23:00 Z TommasoUlian Mobile (BOI12_mobile) C++14
100 / 100
 769 ms 51752 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
vector<pair<double, double>> torri;
ll n, L;

bool good(double r) {
    queue<pair<double, double>> q;
    double curr = 0;
    for (auto a : torri) {
        double x = a.first, y = a.second;
        if(curr >= L)return true;
        if (abs(y) <= r - 1e-6) { 
            double dx = sqrt((r + y) * (r - y));
            double a = x-dx, b = x+dx;
            q.push({a,b});
        }
    }
    while (!q.empty()) {
        if (curr >= L) return true; 
        auto seg = q.front();
        q.pop();
        if (seg.first-1e-6  <= curr) {
            curr = max(seg.second, curr);
        } 
    }

    
    return curr >= L; 
}

void solve() {
    cin >> n >> L;
    torri.resize(n);
    for (int i = 0; i < n; i++) {
        cin >> torri[i].first >> torri[i].second;
    }

    double l = 1, r = 2e9; 
    double ans = r;

    while (r - l > 1e-4) { 
        double c = (r + l) / 2;
        if (good(c)) {
            ans = c;
            r = c;
        } else {
            l = c;
        }
    }

    cout << setprecision(18) << (l + r) / 2 << endl;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    solve();
    return 0;
}

Compilation message

mobile.cpp: In function 'void solve()':
mobile.cpp:41:12: warning: variable 'ans' set but not used [-Wunused-but-set-variable]
   41 |     double ans = r;
      |            ^~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 436 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 344 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 2 ms 724 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 3 ms 600 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 2 ms 604 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 600 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 2 ms 604 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 600 KB Output is correct
2 Correct 3 ms 464 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 3 ms 600 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 3604 KB Output is correct
2 Correct 49 ms 4112 KB Output is correct
3 Correct 30 ms 2816 KB Output is correct
4 Correct 32 ms 4080 KB Output is correct
5 Correct 22 ms 2468 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 3716 KB Output is correct
2 Correct 33 ms 3524 KB Output is correct
3 Correct 46 ms 4088 KB Output is correct
4 Correct 48 ms 4160 KB Output is correct
5 Correct 37 ms 4688 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 4088 KB Output is correct
2 Correct 53 ms 4400 KB Output is correct
3 Correct 45 ms 4128 KB Output is correct
4 Correct 42 ms 5548 KB Output is correct
5 Correct 39 ms 4264 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 5312 KB Output is correct
2 Correct 63 ms 5228 KB Output is correct
3 Correct 58 ms 4720 KB Output is correct
4 Correct 46 ms 5592 KB Output is correct
5 Correct 43 ms 4956 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 5276 KB Output is correct
2 Correct 65 ms 5420 KB Output is correct
3 Correct 71 ms 4700 KB Output is correct
4 Correct 49 ms 5524 KB Output is correct
5 Correct 55 ms 4940 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 324 ms 20848 KB Output is correct
2 Correct 432 ms 24368 KB Output is correct
3 Correct 355 ms 23776 KB Output is correct
4 Correct 209 ms 26224 KB Output is correct
5 Correct 225 ms 23428 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 366 ms 24944 KB Output is correct
2 Correct 338 ms 23108 KB Output is correct
3 Correct 346 ms 22180 KB Output is correct
4 Correct 204 ms 25744 KB Output is correct
5 Correct 219 ms 23780 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 445 ms 24940 KB Output is correct
2 Correct 413 ms 29044 KB Output is correct
3 Correct 471 ms 28476 KB Output is correct
4 Correct 258 ms 31504 KB Output is correct
5 Correct 291 ms 27724 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 452 ms 29612 KB Output is correct
2 Correct 407 ms 27740 KB Output is correct
3 Correct 362 ms 26608 KB Output is correct
4 Correct 245 ms 31300 KB Output is correct
5 Correct 276 ms 28464 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 471 ms 29000 KB Output is correct
2 Correct 527 ms 33808 KB Output is correct
3 Correct 488 ms 33136 KB Output is correct
4 Correct 289 ms 36396 KB Output is correct
5 Correct 304 ms 31964 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 592 ms 34500 KB Output is correct
2 Correct 458 ms 32244 KB Output is correct
3 Correct 402 ms 31376 KB Output is correct
4 Correct 303 ms 36268 KB Output is correct
5 Correct 308 ms 33088 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 563 ms 33148 KB Output is correct
2 Correct 571 ms 38544 KB Output is correct
3 Correct 587 ms 37864 KB Output is correct
4 Correct 331 ms 41724 KB Output is correct
5 Correct 362 ms 37336 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 586 ms 39408 KB Output is correct
2 Correct 507 ms 36716 KB Output is correct
3 Correct 494 ms 35640 KB Output is correct
4 Correct 333 ms 41584 KB Output is correct
5 Correct 339 ms 37780 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 706 ms 41216 KB Output is correct
2 Correct 699 ms 48164 KB Output is correct
3 Correct 769 ms 47204 KB Output is correct
4 Correct 412 ms 51628 KB Output is correct
5 Correct 460 ms 46072 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 750 ms 48976 KB Output is correct
2 Correct 650 ms 45896 KB Output is correct
3 Correct 609 ms 44768 KB Output is correct
4 Correct 416 ms 51752 KB Output is correct
5 Correct 459 ms 47236 KB Output is correct